Question

Write the equation of a function whose parent function, f(x)= x + 6, is shifted 4 units to the right. Og%) = x - 10 O g(x)=-4 Og%) = x + 2 Ogl/)=+ 10​

Answer 1

Given:

The parent function is

$f(x)=x+6$

To find:

The equation of a function whose parent function, f(x)= x + 6, is shifted 4 units to the right.

Solution:

If parent function f(x) is shifted a units to the right to get the function g(x), then

$g(x)=f(x-a)$

Here, a=4 units.

$g(x)=f(x-4)$

$g(x)=(x-4)+6$          $[\because f(x)=x+6]$

$g(x)=x+2$

Therefore, the required function is $g(x)=x+2$ and option C is correct.